(special note just hit ctrl f then type in what word or
phrase you need, will take you directly to it)
|
1
|
Pre-Algebra
|
|
Expanded
form
|
|
|
|
2
|
|
|
Expanded
form with zeros
|
|
|
|
3
|
|
|
Numeral
translation: Problem type 1
|
|
|
|
4
|
|
|
Numeral
translation: Problem type 2
|
|
|
|
5
|
|
|
Addition
and Subtraction
|
|
|
|
6
|
|
|
Addition
without carry
|
|
|
|
7
|
|
|
Addition with carry
|
|
|
|
8
|
|
|
Addition
with carry to the hundreds place
|
|
|
|
9
|
|
|
Addition of large numbers
|
|
|
|
10
|
|
|
Subtraction
without borrowing
|
|
|
|
11
|
|
|
Subtraction
with borrowing
|
|
|
|
12
|
|
|
Subtraction
with multiple regrouping steps
|
|
|
|
13
|
|
|
Subtraction
and regrouping with zeros
|
|
|
|
14
|
|
|
Word
problem using addition or subtraction
|
|
|
|
15
|
|
|
Multiplication
and Division
|
|
|
|
16
|
|
|
One-digit
multiplication
|
|
|
|
17
|
|
|
Multiplication
without carry
|
|
|
|
18
|
|
|
Multiplication with trailing zeros: Problem type 1
|
|
|
|
19
|
|
|
Multiplication with trailing zeros: Problem type 2
|
|
|
|
20
|
|
|
Multiplication of large numbers
|
|
|
|
21
|
|
|
Simple division
|
|
|
|
22
|
|
|
Division without carry
|
|
|
|
23
|
|
|
Division with carry
|
|
|
|
24
|
|
|
Division with trailing zeros: Problem type 1
|
|
|
|
25
|
|
|
Division with trailing zeros: Problem type 2
|
|
|
|
26
|
|
|
Division involving quotients with intermediate zeros
|
|
|
|
27
|
|
|
Quotient and remainder: Problem type 1
|
|
|
|
28
|
|
|
Quotient and remainder: Problem type 2
|
|
|
|
29
|
|
|
Quotient and remainder: Problem type 3
|
|
|
|
30
|
|
|
Word problem using division
|
|
|
|
31
|
|
|
Basic word problem using multiplication or division
|
|
|
|
32
|
|
|
Rounding and Ordering
|
|
|
|
33
|
|
|
Introduction to inequalities
|
|
|
|
34
|
|
|
Ordering large numbers
|
|
|
|
35
|
|
|
Rounding: Problem type 1
|
|
|
|
36
|
|
|
Rounding: Problem type 2
|
|
|
|
37
|
|
|
Estimating a sum
|
|
|
|
38
|
|
|
Estimating a difference
|
|
|
|
39
|
|
|
Estimating a product or quotient
|
|
|
|
40
|
|
|
Average of two numbers
|
|
|
|
41
|
|
|
Order
of Operations and Arithmetic Properties
|
|
|
|
42
|
|
|
Introduction
to parentheses
|
|
|
|
43
|
|
|
Order
of operations: Problem type 1
|
|
|
|
44
|
|
|
Order
of operations: Problem type 2
|
|
|
|
45
|
|
|
Evaluating
a simple algebraic expression: Problem type 3
|
|
|
|
46
|
|
|
Introduction
to properties of addition
|
|
|
|
47
|
|
|
Introduction
to properties of multiplication
|
|
|
|
48
|
|
|
Introduction
to the distributive property
|
|
|
|
49
|
|
|
Factors
and Prime Numbers
|
|
|
|
50
|
|
|
Factors
|
|
|
|
51
|
|
|
Prime
numbers
|
|
|
|
52
|
|
|
Prime
number factorization
|
|
|
|
53
|
|
|
Greatest
common factor
|
|
|
|
54
|
|
|
Least common multiple
|
|
|
|
55
|
|
|
Word problem with common multiples
|
|
|
|
56
|
|
|
Decimals & Percents
|
|
|
|
57
|
|
|
Place
value, Rounding, and Ordering
|
|
|
|
58
|
|
|
Decimal
place value
|
|
|
|
59
|
|
|
Rounding
decimals
|
|
|
|
60
|
|
|
Ordering
decimals
|
|
|
|
61
|
|
|
Ordering
fractions and decimals
|
|
|
|
62
|
|
|
Conversion
between Fractions and Decimals
|
|
|
|
63
|
|
|
Introduction
to converting a fraction to a decimal
|
|
|
|
64
|
|
|
Converting
a decimal to a fraction
|
|
|
|
65
|
|
|
Converting
a fraction to a terminating decimal
|
|
|
|
66
|
|
|
Converting
a fraction to a repeating decimal
|
|
|
|
67
|
|
|
Introduction
to writing a decimal as a mixed number
|
|
|
|
68
|
|
|
Converting
a mixed number to a decimal
|
|
|
|
69
|
|
|
Converting
a mixed number to a decimal
|
|
|
|
70
|
|
|
Addition
of aligned decimals
|
|
|
|
71
|
|
|
Subtraction
of aligned decimals
|
|
|
|
72
|
|
|
Word problem with one decimal operation: Problem type 1
|
|
|
|
73
|
|
|
Word problem with one decimal operation: Problem type 2
|
|
|
|
74
|
|
|
Multiplication and Division
|
|
|
|
75
|
|
|
Multiplication of a decimal by a power of ten
|
|
|
|
76
|
|
|
Multiplication of a decimal by a whole number
|
|
|
|
77
|
|
|
Decimal multiplication: Problem type 1
|
|
|
|
78
|
|
|
Word problem with powers of ten
|
|
|
|
79
|
|
|
Word problem using decimal addition and multiplication
|
|
|
|
80
|
|
|
Division of a decimal by a power of ten
|
|
|
|
81
|
|
|
Division of a decimal by a whole number
|
|
|
|
82
|
|
|
Decimal division
|
|
|
|
83
|
|
|
Word problem using decimal subtraction and division
|
|
|
|
84
|
|
|
Percent:
|
|
|
|
85
|
|
|
Introduction to percent
|
|
|
|
86
|
|
|
Converting between percentages and decimals
|
|
|
|
87
|
|
|
Converting a percentage to a fraction
|
Formula
|
|
|
88
|
|
|
Converting a fraction to a percentage
|
Formula
|
|
|
89
|
|
|
Percentage of a whole number
|
Formula
|
|
|
90
|
|
|
Writing a ratio as a percentage
|
Formula
|
|
|
91
|
|
|
Word problem on percentage: Problem type 1
|
Formula
|
|
|
92
|
|
|
Word problem on percentage: Problem type 2
|
formula
|
|
|
93
|
|
|
Word problem on percentage: Problem type 3
|
|
|
|
94
|
|
|
Simple interest
|
|
|
|
95
|
|
|
Interpreting circle graphs or pie charts
|
|
|
|
96
|
|
|
Computations from circle graphs
|
formula
|
|
|
97
|
|
|
Random samples and prediction
|
|
|
|
98
|
|
|
Variable Expressions & Polynomials
|
|
|
|
99
|
|
|
Integer and Signed Numbers
|
|
|
|
100
|
|
|
Plotting integers on a number line
|
|
|
|
101
|
|
|
Plotting rational numbers on a number line
|
|
|
|
102
|
|
|
Absolute value of a number
|
|
|
|
103
|
|
|
Operations with absolute value
|
|
|
|
104
|
|
|
Integer addition: Problem type 1
|
|
|
|
105
|
|
|
Integer addition: Problem type 2
|
|
|
|
106
|
|
|
Integer subtraction
|
|
|
|
107
|
|
|
Integer multiplication and division
|
|
|
|
108
|
|
|
Signed fraction addition
|
formula
|
-4/3 – 5/2
|
|
109
|
|
|
Signed fraction multiplication
|
|
|
|
110
|
|
|
Signed decimal addition
|
|
|
|
111
|
|
|
Variable Expressions
|
|
|
|
112
|
|
|
Evaluation of a linear expression in two variables
|
|
|
|
113
|
|
|
Evaluation of a polynomial in one variable
|
Formula
|
|
|
114
|
|
|
Distributive property: Basic
|
|
|
|
115
|
|
|
Distributive Property: Advanced
|
|
|
|
116
|
|
|
Combining like terms: Basic
|
|
|
|
117
|
|
|
Combining like terms: Advanced
|
|
|
|
118
|
|
|
Writing a mathematical expression
|
|
|
|
119
|
|
|
Exponents:
|
|
|
|
120
|
|
|
Introduction to exponents
|
|
|
|
121
|
|
|
Evaluating expressions with exponents: Problem type 1
|
|
|
|
122
|
|
|
Evaluating expressions with exponents: Problem type 2
|
|
|
|
123
|
|
|
Exponents and order of operations
|
Formula
|
-3x(5)+((-1)3-4)3
|
|
124
|
|
|
Product rule of exponents
|
|
|
|
125
|
|
|
Quotients of expressions involving exponents
|
|
|
|
126
|
|
|
Power rule: Positive exponents
|
|
|
|
127
|
|
|
Ordering numbers with positive exponents
|
|
|
|
128
|
|
|
Polynomials:
|
|
|
|
129
|
|
|
Simplifying
a polynomial expression
|
|
|
|
130
|
|
|
Greatest
common factor of two monomials
|
|
|
|
131
|
|
|
Multiplying
monomials
|
|
|
|
132
|
|
|
Multiplying
two binomials
|
|
|
|
133
|
|
|
Squaring
a binomial
|
|
|
|
134
|
|
|
Multiplying
polynomials
|
|
|
|
135
|
|
|
Square
Roots
|
|
|
|
136
|
|
|
perfect square
|
|
|
|
137
|
|
|
Square root of a rational perfect square
|
|
|
|
138
|
|
|
Estimating a square root
|
|
|
|
139
|
|
|
GeometryT
|
|
|
|
140
|
|
|
Lines
and Angles:
|
|
|
|
141
|
|
|
Naming
segments, rays, and lines
|
|
|
|
142
|
|
|
Measuring
an angle with the protractor
|
|
|
|
143
|
|
|
Acute,
obtuse, and right angles
|
|
|
|
144
|
|
|
Supplementary
and complementary angles
|
Formula
|
Summlimentary 180-x
Comtimpary 90-x
|
|
145
|
|
|
Supplementary
and vertical angles
|
|
|
|
146
|
|
|
`````
|
|
|
|
147
|
|
|
Acute,
obtuse, and right triangles
|
|
|
|
148
|
|
|
Scalene,
isosceles, and equilateral triangles
|
|
|
|
149
|
|
|
Area
of a triangle
|
|
|
|
150
|
|
|
Sum of the angle measures of a triangle
|
Formula
|
|
|
151
|
|
|
Solving a triangle: Problem type 1
|
|
|
|
152
|
|
|
Pythagorean Theorem
|
|
|
|
153
|
|
|
Polygons and Quadrilaterals
|
|
|
|
154
|
|
|
Classifying quadrilaterals
|
|
|
|
155
|
|
|
Perimeter of a square or a rectangle
|
|
|
|
156
|
|
|
Perimeter of a polygon
|
|
|
|
157
|
|
|
Finding the side length of a rectangle given its perimeter or
area
|
|
|
|
158
|
|
|
Sides of polygons having the same perimeter
|
|
|
|
159
|
|
|
Perimeter of a piecewise rectangular figure
|
|
|
|
160
|
|
|
Distinguishing between area and perimeter
|
|
|
|
161
|
|
|
Areas of rectangles with the same perimeter
|
|
|
|
162
|
|
|
Area of a square or a rectangle
|
|
|
|
163
|
|
|
Area of a piecewise rectangular figure
|
|
|
|
164
|
|
|
Area of a parallelogram
|
|
|
|
165
|
|
|
Area of a trapezoid
|
|
|
|
166
|
|
|
Area between two rectangles
|
|
|
|
167
|
|
|
Area involving rectangles and triangles
|
|
|
|
168
|
|
|
Circles
|
|
|
|
169
|
|
|
Circumference of a circle
|
|
|
|
170
|
|
|
Circumference and area of a circle
|
|
|
|
171
|
|
|
Finding the radius or the diameter of a circle given its
circumference
|
|
|
|
172
|
|
|
Circumference ratios
|
|
|
|
173
|
|
|
Perimeter involving rectangles and circles
|
|
|
|
174
|
|
|
Area between two concentric circles
|
|
|
|
175
|
|
|
Area involving rectangles and circles
|
|
|
|
176
|
|
|
Area involving inscribed figures
|
|
|
|
177
|
|
|
Volume
and Surface Area:
|
|
|
|
178
|
|
|
Volume
of a cube or a rectangular prism
|
|
|
|
179
|
|
|
Volume
of a piecewise rectangular prism
|
|
|
|
180
|
|
|
Volume
of a triangular prism
|
|
|
|
181
|
|
|
Volume
of a cylinder
|
|
|
|
182
|
|
|
Rate
of filling of a solid
|
|
|
|
183
|
|
|
Nets
of solids
|
|
|
|
184
|
|
|
Surface
area of a solid made of unit cubes
|
|
|
|
185
|
|
|
Surface
area of a cube or a rectangular prism
|
|
|
|
186
|
|
|
Similarity:
|
|
|
|
187
|
|
|
Similar
polygons
|
|
|
|
188
|
|
|
Similar
right triangles
|
|
|
|
189
|
|
|
Indirect
measurement
|
|
|
|
190
|
|
|
Fractions &
Proportions
|
|
|
|
191
|
|
|
Equivalent
Fractions
|
|
|
|
192
|
|
|
Introduction
to fractions
|
|
|
|
193
|
|
|
Introduction
to ratios
|
|
|
|
194
|
|
|
Understanding
equivalent fractions
|
|
|
|
195
|
|
|
Equivalent fractions
|
|
|
|
196
|
|
|
Reduced fraction
|
|
|
|
197
|
|
|
Ordering Fractions
|
|
|
|
198
|
|
|
Plotting fractions on a number line
|
|
|
|
199
|
|
|
Ordering fractions with same denominator
|
|
|
|
200
|
|
|
Ordering fractions with same numerator
|
|
|
|
201
|
|
|
Ordering fractions
|
|
|
|
202
|
|
|
Addition and Subtraction
|
|
|
|
203
|
|
|
Addition or subtraction of fractions with
the same denominator
|
|
|
|
204
|
|
|
Addition or subtraction of fractions with
different denominators
|
|
|
|
205
|
|
|
Fractional part of a circle
|
|
|
|
206
|
|
|
Multiplication and Division
|
|
|
|
207
|
|
|
The reciprocal of a number
|
|
|
|
208
|
|
|
Product of a unit fraction and a whole
number
|
|
|
|
209
|
|
|
Unit fraction multiplication
|
|
|
|
210
|
|
|
Product of a fraction and a whole number
|
|
|
|
211
|
|
|
Fraction multiplication
|
|
|
|
212
|
|
|
Word problem with fractions
|
|
|
|
213
|
|
|
fraction division
|
|
|
|
214
|
|
|
Mixed numbers
|
|
|
|
215
|
|
|
Introduction to
mixed numbers and improper fractions
|
|
|
|
216
|
|
|
Writing an
improper fraction as a mixed number
|
|
|
|
217
|
|
|
Writing a mixed
number as an improper fraction
|
|
|
|
218
|
|
|
Addition or
subtraction of mixed numbers with same denominator
|
|
|
|
219
|
|
|
Addition of mixed
numbers with same denominator and carry
|
|
|
|
220
|
|
|
Subtraction of
mixed numbers with same denominator and borrowing
|
|
|
|
221
|
|
|
Addition or
subtraction of mixed numbers with different denominators
|
|
|
|
222
|
|
|
Mixed number
multiplication: Problem type 1
|
|
|
|
223
|
|
|
11ixed number
multiplication: Problem type 2
|
|
|
|
224
|
|
|
Mixed number
division
|
|
|
|
225
|
|
|
Proportion:
|
|
|
|
226
|
|
|
Basic word
problem on rates
|
|
|
|
227
|
|
|
Word problem on
rates
|
|
|
|
228
|
|
|
Solving a
proportion: Basic
|
|
|
|
229
|
|
|
Simple word
problem on proportions
|
|
|
|
230
|
|
|
Word problem on
proportions: Problem type 1
|
|
|
|
231
|
|
|
Word problem on
proportions: Problem type 2
|
|
|
|
232
|
|
|
Measurement,
Data & Probability
|
|
|
|
233
|
|
|
Measurement:
|
|
|
|
234
|
|
|
Conversions
involving measurements in feet and inches
|
|
|
|
235
|
|
|
Adding
customary units of length
|
|
|
|
236
|
|
|
Customary unit
conversion with whole number values
|
|
|
|
237
|
|
|
Customary unit
conversion with whole number values, two-step conversion
|
|
|
|
238
|
|
|
Customary unit
conversion with mixed number values
|
|
|
|
239
|
|
|
Customary unit
conversion with mixed number values, two-step conversion
|
|
|
|
240
|
|
|
Metric distance conversion with whole number values
|
|
|
|
241
|
|
|
Metric mass or capacity conversion with whole number values
|
|
|
|
242
|
|
|
Metric distance conversion with decimal values
|
|
|
|
243
|
|
|
Metric conversion with decimal values, two-step conversion
|
|
|
|
244
|
|
|
Time unit conversion with whole number values
|
|
|
|
245
|
|
|
Conversion between metric and customary unit systems
|
|
|
|
246
|
|
|
Data Analysis
|
|
|
|
247
|
|
|
Histograms for numerical data
|
|
|
|
248
|
|
|
Bar graphs for non-numerical data
|
|
|
|
249
|
|
|
Interpreting bar graphs
|
|
|
|
250
|
|
|
Double bar graphs
|
|
|
|
251
|
|
|
Interpreting line graphs
|
|
|
|
252
|
|
|
Mode of a data set
|
|
|
|
253
|
|
|
Mean and median of a data set
|
|
|
|
254
|
|
|
Finding the value for a new score that will yield a given mean
|
|
|
|
255
|
|
|
How changing a value affects the mean and median
|
|
|
|
256
|
|
|
Probability:
|
|
|
|
257
|
|
|
Introduction to probability of an event
|
|
|
|
258
|
|
|
Probability of an event
|
|
|
|
259
|
|
|
Tree diagrams
|
|
|
|
260
|
|
|
Equations & Graphs
|
|
|
|
261
|
|
|
Additive and Multiplicative Properties of Equality:
|
|
|
|
262
|
|
|
Additive property of equality: Problem type 1
|
|
|
|
263
|
|
|
Additive property of equality with decimals
|
|
|
|
264
|
|
|
Additive property of equality with fractions
|
|
|
|
265
|
|
|
Additive property of equality: Problem type 2
|
|
|
|
266
|
|
|
Additive property of equality: Problem type 3
|
|
|
|
267
|
|
|
Multiplicative property of equality: Problem type 1
|
|
|
|
268
|
|
|
Multiplicative property of equality with fractions
|
|
|
|
269
|
|
|
Multiplicative property of equality: Problem type 2
|
|
|
|
270
|
|
|
Solving
Linear Equations:
|
|
|
|
271
|
|
|
Solving
a linear equation: Problem type 1
|
|
|
|
272
|
|
|
Solving
a linear equation: Problem type 2
|
|
|
|
273
|
|
|
Solving
a linear equation: Problem type 3
|
|
|
|
274
|
|
|
Solving
a linear equation with several occurrences of the variable: Problem type 1
|
|
|
|
275
|
|
|
Solving
a linear equation with several occurrences of the variable: Problem type 2
|
|
|
|
276
|
|
|
Solving
a linear equation with several occurrences of the variable: Problem type 3
|
|
|
|
277
|
|
|
Solving
a linear equation with several occurrences of the variable: Problem type 4
|
|
|
|
278
|
|
|
Applications
of Linear Equations:
|
|
|
|
279
|
|
|
Translating
sentences into equations
|
|
|
|
280
|
|
|
Solving a word problem using a linear equation: Problem type 1
|
|
|
|
281
|
|
|
Solving
a word problem using a linear equation: Problem type 2
|
|
|
|
282
|
|
|
Solving
a word problem using a linear equation: Problem type 3
|
|
|
|
283
|
|
|
Solving
a word problem using a linear equation: Problem type 4
|
|
|
|
284
|
|
|
Functions
and Graphs:
|
|
|
|
285
|
|
|
Finding a function rule: Problem type 1
|
|
|
|
286
|
|
|
Finding the next terms of a simple sequence
|
|
|
|
287
|
|
|
Reading a point in the coordinate plane
|
|
|
|
288
|
|
|
Plotting a point in the coordinate plane
|
Formula
|
|
|
289
|
|
|
Solutions to a linear equation in two variables: Problem type
1
|
|
|
|
290
|
|
|
Solutions to a linear equation in two variables: Problem type
2
|
|
|
|
291
|
|
|
x-and y-intercepts of a line given the equation in standard
form
|
|
|
|
292
|
|
|
Graphing a line given the x-and y-intercepts
|
|
|
|
293
|
|
|
Graphing a line given its equation in slope-intercept form
|
|
|
|
294
|
|
|
Graphing a line given its equation in standard form
|
|
|
|
295
|
Pre-Algebra
|
|
Graphing a vertical or horizontal line
|
|
|
|
296
|
|
|
Basic Algebra
|
|
|
|
297
|
|
|
Arithmetic readiness
|
|
|
|
298
|
|
|
Whole
numbers
|
|
|
|
299
|
|
|
Fractions
|
|
|
|
300
|
|
|
Decimals
|
|
|
|
301
|
|
|
Percents
|
|
|
|
302
|
|
|
Geometry
|
|
|
|
303
|
|
|
Data
analysis
|
|
|
|
304
|
|
|
Linear equations &
inequalities
|
|
|
|
305
|
|
|
Linear
equations
|
|
|
|
306
|
|
|
Inequalities
|
|
|
|
307
|
|
|
Applications
|
|
|
|
308
|
|
|
Integer exponents &
polynomials
|
|
|
|
309
|
|
|
Exponents
|
|
|
|
310
|
|
|
Polynomial
arithmetic
|
|
|
|
311
|
|
|
Factoring
|
|
|
|
312
|
|
|
Radicals & rational exponents
|
|
|
|
313
|
|
|
Square
roots
|
|
|
|
314
|
|
|
Pythagoras
theorem
|
|
|
|
315
|
|
|
Rational
exponents
|
|
|
|
316
|
|
|
Real numbers &
variables
|
|
|
|
317
|
|
|
Integers
and rational numbers
|
|
|
|
318
|
|
|
Properties
of real numbers
|
Formula
|
|
|
319
|
|
|
Variables
and algebraic expressions
|
|
|
|
320
|
|
|
Functions, lines, systems of equations
|
|
|
|
321
|
|
|
Sets,
relations, and functions
|
|
|
|
322
|
|
|
Graphing
linear equations and inequalities
|
|
|
|
323
|
|
|
Properties
of lines
|
|
|
|
324
|
|
|
Systems
of linear equations
|
|
|
|
325
|
|
|
Rational expressions & proportions
|
|
|
|
326
|
|
|
Simplifying
expressions
|
|
|
|
327
|
|
|
Solving
equations
|
|
|
|
328
|
|
|
Applications
|
|
|
|
329
|
|
|
Complex numbers &
quadratic equations
|
|
|
|
330
|
|
|
Quadratic
equations and functions
|
|
|
|
331
|
|
|
Graphing
|
|
|
|
332
|
|
|
Arithmetic readiness
|
|
|
|
333
|
|
|
Whole
numbers:
|
|
|
|
334
|
|
|
Order
of operations: Problem type 1
|
|
|
|
335
|
|
|
Order
of operations: Problem type:2
|
|
|
|
336
|
|
|
Factors
|
|
|
|
337
|
|
|
Prime
numbers
|
|
|
|
338
|
|
|
Prime
number factorization
|
|
|
|
339
|
|
|
Greatest
common factor
|
|
|
|
340
|
|
|
Least
common multiple
|
|
|
|
341
|
|
|
Simple
word problem on proportions
|
|
|
|
342
|
|
|
Fractions:
|
|
|
|
343
|
|
|
Equivalent
fractions
|
|
|
|
344
|
|
|
Reduced
fraction
|
|
|
|
345
|
|
|
Addition or subtraction of fractions with the same denominator
|
|
|
|
346
|
|
|
Addition or subtraction of fractions with different
denominators
|
|
|
|
347
|
|
|
The reciprocal of a number
|
|
|
|
348
|
|
|
Product of a unit fraction and a whole number
|
|
|
|
349
|
|
|
Unit fraction multiplication
|
|
|
|
350
|
|
|
Product of a fraction and a whole number
|
|
|
|
351
|
|
|
Fraction multiplication
|
|
|
|
352
|
|
|
Fraction division
|
|
|
|
353
|
|
|
Word problem with fractions
|
|
|
|
354
|
|
|
Writing an improper fraction as a mixed number
|
|
|
|
355
|
|
|
Writing a mixed number as an improper fraction
|
|
|
|
356
|
|
|
Addition of mixed numbers with same denominator and carry
|
|
|
|
357
|
|
|
Subtraction of mixed
numbers with same denominator and borrowing
|
|
|
|
358
|
|
|
Addition or subtraction of
numbers with different denominators
|
|
|
|
359
|
|
|
Mixed number multiplication: Problem type 1
|
|
|
|
360
|
|
|
Mixed number division
|
|
|
|
361
|
|
|
Decimals:
|
|
|
|
362
|
|
|
Decimal place value
|
|
|
|
363
|
|
|
Rounding decimals
|
|
|
|
364
|
|
|
Converting a decimal to a fraction
|
|
|
|
365
|
|
|
Converting a fraction to a terminating decimal
|
|
|
|
366
|
|
|
Converting a fraction to a repeating decimal
|
|
|
|
367
|
|
|
Converting a mixed number to a decimal
|
|
|
|
368
|
|
|
Multiplication of a decimal by a power of ten
|
|
|
|
369
|
|
|
Multiplication of a decimal by a whole number
|
|
|
|
370
|
|
|
Decimal multiplication: Problem type 1
|
|
|
|
371
|
|
|
Division of a decimal by a power of ten
|
|
|
|
372
|
|
|
Division of a decimal by a whole number
|
|
|
|
373
|
|
|
Decimal division
|
|
|
|
374
|
|
|
Word problem with one decimal operation: Problem type 1
|
|
|
|
375
|
|
|
Word problem with one decimal operation: Problem type 2
|
|
|
|
376
|
|
|
Word problem using decimal addition and multiplication
|
|
|
|
377
|
|
|
Word problem using decimal subtraction and division
|
|
|
|
378
|
|
|
Percents:
|
|
|
|
379
|
|
|
Converting
between percentages and decimals
|
|
|
|
380
|
|
|
Converting
a percentage to a fraction
|
|
|
|
381
|
|
|
Converting
a fraction to a percentage
|
|
|
|
382
|
|
|
Percentage
of a whole number
|
|
|
|
383
|
|
|
Writing
a ratio as a percentage
|
|
|
|
384
|
|
|
Word
problem on percentage: Problem type 1
|
|
|
|
385
|
|
|
Word
problem on percentage: Problem type 2
|
|
|
|
386
|
|
|
Word
problem on percentage: Problem type 3
|
|
|
|
387
|
|
|
Simple
interest
|
|
|
|
388
|
|
|
Geometry:
|
|
|
|
389
|
|
|
Supplementary
and complementary angles
|
|
|
|
390
|
|
|
Perimeter of a square or a rectangle
|
|
|
|
391
|
|
|
Perimeter of a polygon
|
|
|
|
392
|
|
|
Area of a square or a rectangle
|
|
|
|
393
|
|
|
Area of a triangle
|
|
|
|
394
|
|
|
Circumference and area of a circle
|
|
|
|
395
|
|
|
Volume of a cube or a rectangular prism
|
|
|
|
396
|
|
|
Volume of a cylinder
|
|
|
|
397
|
|
|
Data analysis:
|
|
|
|
398
|
|
|
Mean and median of a data set
|
|
|
|
399
|
|
|
Interpreting bar graphs
|
|
|
|
400
|
|
|
Computations from circle graphs
|
|
|
|
401
|
|
|
Interpreting circle graphs or pie charts
|
|
|
|
402
|
|
|
Linear equations &
inequalities
|
|
|
|
403
|
|
|
Linear equations
|
|
|
|
404
|
|
|
Additive property of equality: Problem type 1
|
|
|
|
405
|
|
|
Additive property of equality: Problem type 2
|
|
|
|
406
|
|
|
Additive property of equality: Problem type 3
|
|
|
|
407
|
|
|
Additive property of equality with decimals
|
|
|
|
408
|
|
|
Additive property of equality with fractions
|
|
|
|
409
|
|
|
Multiplicative property of equality: Problem type 1
|
|
|
|
410
|
|
|
Multiplicative property of equality: Problem type 2
|
|
|
|
411
|
|
|
Multiplicative property of equality with fractions
|
|
|
|
412
|
|
|
Using two steps to solve an equation
|
|
|
|
413
|
|
|
Solving a linear equation: Problem type 1
|
|
|
|
414
|
|
|
Solving a linear equation: Problem type 2
|
|
|
|
415
|
|
|
Solving a linear equation: Problem type 3
|
|
|
|
416
|
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 1
|
|
|
|
417
|
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 2
|
|
|
|
418
|
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 3
|
|
|
|
419
|
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 4
|
|
|
|
420
|
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 5
|
|
|
|
421
|
|
|
Inequalities:
|
|
|
|
422
|
|
|
Writing an inequality
|
|
|
|
423
|
|
|
Writing a compound inequality
|
|
|
|
424
|
|
|
Solving a linear inequality: Problem type 1
|
|
|
|
425
|
|
|
Solving a linear inequality: Problem type 2
|
|
|
|
426
|
|
|
Solving a linear inequality: Problem type 3
|
|
|
|
427
|
|
|
Solving a linear inequality: Problem type 4
|
|
|
|
428
|
|
|
Graphing a linear inequality on the number line
|
|
|
|
429
|
|
|
Graphing a compound linear inequality on the number line
|
|
|
|
430
|
|
|
Applications:
|
|
|
|
431
|
|
|
Translating sentences into equations
|
|
|
|
432
|
|
|
Introduction to algebraic symbol manipulation
|
|
|
|
433
|
|
|
Algebraic symbol manipulation
|
|
|
|
434
|
|
|
Solving a word problem using a linear equation: Problem type 1
|
|
|
|
435
|
|
|
Solving a word problem using a linear equation: Problem type 2
|
|
|
|
436
|
|
|
Solving a word problem using a linear equation: Problem type 3
|
|
|
|
437
|
|
|
Solving a word problem using a linear equation: Problem type 4
|
|
|
|
438
|
|
|
Finding the value for a new score that will yield a given mean
|
|
|
|
439
|
|
|
Sum of the angle measures of a triangle
|
|
|
|
440
|
|
|
Vertical angles and linear pairs
|
|
|
|
441
|
|
|
Finding the side length of a rectangle given its perimeter or
area
|
|
|
|
442
|
|
|
Area and perimeter of a rectangle
|
|
|
|
443
|
|
|
Word problem 'with linear inequalities
|
|
|
|
444
|
|
|
Integer exponents &
polynomials
|
|
|
|
445
|
|
|
Exponents:
|
|
|
|
446
|
|
|
Product rule of exponents
|
|
|
|
447
|
|
|
Quotients of expressions involving exponents
|
|
|
|
448
|
|
|
Writing a positive number without a negative exponent
|
|
|
|
449
|
|
|
Writing a negative number without a negative exponent
|
|
|
|
450
|
|
|
Power rule: Positive exponents
|
|
|
|
451
|
|
|
Power rule: Negative exponents
|
|
|
|
452
|
|
|
Multiplying monomials
|
|
|
|
453
|
|
|
Product rule of exponents in a multivariate monomial
|
|
|
|
454
|
|
|
Ordering numbers with positive exponents
|
|
|
|
455
|
|
|
Ordering numbers with negative exponents
|
|
|
|
456
|
|
|
Scientific notation with positive exponent
|
|
|
|
457
|
|
|
Scientific notation with negative exponent
|
|
|
|
458
|
|
|
Multiplying and dividing numbers written in scientific
notation
|
|
|
|
459
|
|
|
Polynomial
arithmetic
|
|
|
|
460
|
|
|
Combining
like terms: Advanced
|
|
|
|
461
|
|
|
Simplifying
a polynomial expression
|
|
|
|
462
|
|
|
Multiplying
two binomials
|
|
|
|
463
|
|
|
Squaring
a binomial
|
|
|
|
464
|
|
|
Multiplying
polynomials
|
|
|
|
465
|
|
|
Degree
of a multivariate polynomial
|
|
|
|
466
|
|
|
Polynomial
long division: Linear divisor
|
|
|
|
467
|
|
|
Polynomial
long division: Quadratic divisor
|
|
|
|
468
|
|
|
Factoring:
|
|
|
|
469
|
|
|
Factoring a quadratic with leading coefficient 1
|
|
|
|
470
|
|
|
Factoring a quadratic with leading coefficient greater than 1
|
|
|
|
471
|
|
|
Factoring a perfect square
|
|
|
|
472
|
|
|
Factoring a quadratic polynomial in two variables
|
|
|
|
473
|
|
|
Factoring a product of a quadratic trinomial and a monomial
|
|
|
|
474
|
|
|
Factoring a difference of squares
|
|
|
|
475
|
|
|
Factoring with repeated use of the difference of squares
formula
|
|
|
|
476
|
|
|
Greatest common factor of two monomials
|
|
|
|
477
|
|
|
Factoring a multivariate polynomial by grouping: Problem type
1
|
|
|
|
478
|
|
|
Factoring a multivariate polynomial by grouping: Problem type
2
|
|
|
|
479
|
|
|
Factoring a sum or difference of two cubes
|
|
|
|
480
|
|
|
Radicals &
rational exponents
|
|
|
|
481
|
|
|
Square roots
|
|
|
|
482
|
|
|
Square root of a rational perfect square
|
|
|
|
483
|
|
|
Square root of a perfect square monomial
|
|
|
|
484
|
|
|
Square root simplification
|
|
|
|
485
|
|
|
Simplifying a radical expression: Problem type 1
|
|
|
|
486
|
|
|
Simplifying a radical expression: Problem type 2
|
|
|
|
487
|
|
|
Square root addition
|
|
|
|
488
|
|
|
Simplifying a sum of radical expressions
|
|
|
|
489
|
|
|
Square root multiplication
|
|
|
|
490
|
|
|
Simplifying a product of radical expressions
|
|
|
|
491
|
|
|
Simplifying a product of radical expressions using the
distributive property
|
|
|
|
492
|
|
|
Rationalizing the denominator of a radical expression
|
|
|
|
493
|
|
|
Rationalizing the denominator of a radical expression using
conjugates
|
|
|
|
494
|
|
|
Solving an equation with radicals: Problem type 1
|
|
|
|
495
|
|
|
Solving an equation with radicals: Problem type 2
|
|
|
|
496
|
|
|
Solving an equation with radicals: Problem type 3
|
|
|
|
497
|
|
|
Pythagoras
theorem
|
|
|
|
498
|
|
|
Pythagorean
Theorem
|
|
|
|
499
|
|
|
Rational
exponents:
|
|
|
|
500
|
|
|
Cube
root of an integer
|
|
|
|
501
|
|
|
Simplifying
a higher radical: Problem type 1
|
|
|
|
502
|
|
|
Simplifying a higher radical: Problem type 2
|
|
|
|
503
|
|
|
Even root property
|
|
|
|
504
|
|
|
Solving an equation with exponent using the even-root property
|
|
|
|
505
|
|
|
Real numbers & variables
|
|
|
|
506
|
|
|
Integers and rational numbers
|
|
|
|
507
|
|
|
Plotting rational numbers on a number line
|
|
|
|
508
|
|
|
Integer addition: Problem type 1
|
|
|
|
509
|
|
|
Integer addition: Problem type 2
|
|
|
|
510
|
|
|
Integer subtraction
|
|
|
|
511
|
|
|
Integer multiplication and division
|
|
|
|
512
|
|
|
Signed fraction addition
|
|
|
|
513
|
|
|
Signed fraction multiplication
|
|
|
|
514
|
|
|
Signed decimal addition
|
|
|
|
515
|
|
|
Introduction to exponents
|
|
|
|
516
|
|
|
Evaluating expressions with exponents: Problem type 1
|
|
|
|
517
|
|
|
Evaluating expressions with exponents: Problem type 2
|
|
|
|
518
|
|
|
Exponents and order of operations
|
|
|
|
519
|
|
|
Square root of a perfect square
|
|
|
|
520
|
|
|
Estimating a square root
|
|
|
|
521
|
|
|
Absolute value of a number
|
|
|
|
522
|
|
|
Properties
of real numbers:
|
|
|
|
523
|
|
|
Integers
and rational numbers
|
|
|
|
524
|
|
|
Rational
and irrational numbers
|
|
|
|
525
|
|
|
Properties
of addition
|
|
|
|
526
|
|
|
Properties
of real numbers
|
|
|
|
527
|
|
|
Variables
and algebraic expressions:
|
|
|
|
528
|
|
|
Evaluation
of a linear expression in two variables
|
|
|
|
529
|
|
|
Evaluation
of a polynomial in one variable
|
|
|
|
530
|
|
|
Distributive
property: Basic
|
|
|
|
531
|
|
|
Distributive
Property: Advanced
|
|
|
|
532
|
|
|
Combining
like terms: Basic
|
|
|
|
533
|
|
|
Writing
a mathematical expression
|
|
|
|
534
|
|
|
Functions, lines, systems of equations
|
|
|
|
535
|
|
|
Sets,
relations, and functions:
|
|
|
|
536
|
|
|
Set
builder notation
|
|
|
|
537
|
|
|
Function
tables
|
|
|
|
538
|
|
|
Graphing
integer functions
|
|
|
|
539
|
|
|
Domain
and range: Problem type 1
|
|
|
|
540
|
|
|
Vertical
line test
|
|
|
|
541
|
|
|
Graphing
linear equations and inequalities:
|
|
|
|
542
|
|
|
Reading
a point in the coordinate plane
|
|
|
|
543
|
|
|
Plotting
a point in the coordinate plane
|
|
|
|
544
|
|
|
Graphing a line given the x-and y-intercepts
|
|
|
|
545
|
|
|
Graphing a line given its equation in slope-intercept form
|
|
|
|
546
|
|
|
Graphing a line given its equation in standard form
|
|
|
|
547
|
|
|
Graphing a line through a given point with a given slope
|
|
|
|
548
|
|
|
Graphing a vertical or horizontal line
|
|
|
|
549
|
|
|
Graphing a linear inequality in the plane: Problem type 1
|
|
|
|
550
|
|
|
Graphing a linear inequality in the plane: Problem type 2
|
|
|
|
551
|
|
|
Writing equations and drawing graphs to fit a narrative
|
|
|
|
552
|
|
|
Properties of lines
|
|
|
|
553
|
|
|
Solutions to a linear equation in two variables: Problem type
1
|
|
|
|
554
|
|
|
Solutions to a linear equation in two variables: Problem type
2
|
|
|
|
555
|
|
|
Y-intercept of a line
|
|
|
|
556
|
|
|
X-and y-intercepts of a line given the equation in standard
form
|
|
|
|
557
|
|
|
Finding the slope of a line given its equation
|
|
|
|
558
|
|
|
Determining the slope of a line given its graph
|
|
|
|
559
|
|
|
Writing an equation of a line given the y-intercept and a
point
|
|
|
|
560
|
|
|
Writing the equation of a line given the slope and a point on
the line
|
|
|
|
561
|
|
|
Writing the equation of the line through two given points
|
|
|
|
562
|
|
|
Writing the equations of vertical and horizontal lines through
a given point
|
|
|
|
563
|
|
|
Application problem with a linear function: Problem type 1
|
|
|
|
564
|
|
|
Application problem with a linear function: Problem type 2
|
|
|
|
565
|
|
|
Slopes of parallel and perpendicular lines: Problem type 1
|
|
|
|
566
|
|
|
Slopes of parallel and perpendicular lines: Problem type 2
|
|
|
|
567
|
|
|
Interpreting line graphs
|
|
|
|
568
|
|
|
Interpreting the graphs of two functions
|
|
|
|
569
|
|
|
Systems of linear equations
|
|
|
|
570
|
|
|
Classifying a system of linear equations
|
|
|
|
571
|
|
|
Solving a system of linear equations
|
|
|
|
572
|
|
|
Solving a word problem using a system of linear equations:
Problem type 1
|
|
|
|
573
|
|
|
Solving a word problem using a system of linear equations:
Problem type 2
|
|
|
|
574
|
|
|
Solving a word problem using a system of linear equations:
Problem type 3
|
|
|
|
575
|
|
|
Solving a word problem using a system of linear equations: Problem
type 4
|
|
|
|
576
|
|
|
Solving a word problem using a system of linear equations:
Problem type 5
|
|
|
|
577
|
|
|
Graphing a system of linear inequalities
|
|
|
|
578
|
|
|
Rational expressions & proportions
|
|
|
|
579
|
|
|
Simplifying expressions:
|
|
|
|
580
|
|
|
Multiplying rational
expressions: Problem type 1
|
|
|
|
581
|
|
|
Multiplying rational expressions: Problem type 2
|
|
|
|
582
|
|
|
Dividing rational expressions
|
|
|
|
583
|
|
|
Complex fraction: Problem type 1
|
|
|
|
584
|
|
|
Adding rational expressions with common denominator
|
|
|
|
585
|
|
|
Adding rational expressions
|
|
|
|
586
|
|
|
Least common multiple of two monomials
|
|
|
|
587
|
|
|
Adding rational expressions with different denominators
|
|
|
|
588
|
|
|
Adding and subtracting rational expressions: Problem type 1
|
|
|
|
589
|
|
|
Adding and subtracting rational expressions: Problem type 2
|
|
|
|
590
|
|
|
Simplifying a ratio of polynomials: Problem type 1
|
|
|
|
591
|
|
|
Ratio of multivariate polynomials
|
|
|
|
592
|
|
|
Solving equations:
|
|
|
|
593
|
|
|
Solving a proportion: Basic
|
|
|
|
594
|
|
|
Solving a proportion: Advanced
|
|
|
|
595
|
|
|
Restriction on variable in a denominator
|
|
|
|
596
|
|
|
Solving a rational equation that simplifies to a linear
equation: Problem type 1
|
|
|
|
597
|
|
|
Solving a rational equation that simplifies to a linear
equation: Problem type 2
|
|
|
|
598
|
|
|
Solving a rational equation that simplifies to a linear
equation: Problem type 3
|
|
|
|
599
|
|
|
Solving a rational equation that simplifies to a quadratic
equation: Problem type 1
|
|
|
|
600
|
|
|
Solving a rational equation that simplifies to a quadratic
equation: Problem type 2
|
|
|
|
601
|
|
|
Applications
|
|
|
|
602
|
|
|
Basic word problem on rates
|
|
|
|
603
|
|
|
Word problem on rates
|
|
|
|
604
|
|
|
Word problem involving multiple rates
|
|
|
|
605
|
|
|
Word problem on proportions: Problem type 1
|
|
|
|
606
|
|
|
Word problem on proportions: Problem type 2
|
|
|
|
607
|
|
|
Word problem on inverse proportions
|
|
|
|
608
|
|
|
Word problem on direct variation
|
|
|
|
609
|
|
|
Word problem on inverse variation
|
|
|
|
610
|
|
|
Similar polygons
|
|
|
|
611
|
|
|
Metric distance conversion with whole number values
|
|
|
|
612
|
|
|
Customary unit conversion with whole number values
|
|
|
|
613
|
|
|
Complex numbers &
quadratic equations
|
|
|
|
614
|
|
|
Quadratic equations and functions
|
|
|
|
615
|
|
|
Graphing
|
|
|
|
616
|
|
|
Arithmetic readiness
|
|
|
|
617
|
|
|
Whole
numbers:
|
|
|
|
618
|
|
|
Order
of operations: Problem type 1
|
|
|
|
619
|
|
|
Order
of operations: Problem type:2
|
|
|
|
620
|
|
|
Factors
|
|
|
|
621
|
|
|
Prime
numbers
|
|
|
|
622
|
|
|
Prime
number factorization
|
|
|
|
623
|
|
|
Greatest
common factor
|
|
|
|
624
|
|
|
Least
common multiple
|
|
|
|
625
|
|
|
Simple
word problem on proportions
|
|
|
|
626
|
|
|
Fractions:
|
|
|
|
627
|
|
|
Equivalent
fractions
|
|
|
|
628
|
|
|
Reduced
fraction
|
|
|
|
629
|
|
|
Addition or subtraction of fractions with the same
denominators
|
|
|
|
630
|
|
|
Addition or subtraction of fractions with different
denominators
|
|
|
|
631
|
|
|
The reciprocal of a number
|
|
|
|
632
|
|
|
Product of a unit fraction and a whole number
|
|
|
|
633
|
|
|
Unit fraction multiplication
|
|
|
|
634
|
|
|
Product of a fraction and a whole number
|
|
|
|
635
|
|
|
Fraction multiplication
|
|
|
|
636
|
|
|
Fraction division
|
|
|
|
637
|
|
|
Word problem with fractions
|
|
|
|
638
|
|
|
Writing an improper fraction as a mixed number
|
|
|
|
639
|
|
|
Writing a mixed number as an improper fraction
|
|
|
|
640
|
|
|
Addition of mixed numbers with same denominator and carry
|
|
|
|
641
|
|
|
Subtraction of mixed
numbers with same denominator and borrowing
|
|
|
|
642
|
|
|
Addition or subtraction of mixed numbers with different denominators
|
|
|
|
643
|
|
|
Mixed number multiplication: Problem type 1
|
|
|
|
644
|
|
|
Mixed number division
|
|
|
|
645
|
|
|
Decimals:
|
|
|
|
646
|
|
|
Decimal place value
|
|
|
|
647
|
|
|
Rounding decimals
|
|
|
|
648
|
|
|
Converting a decimal to a fraction
|
|
|
|
649
|
|
|
Converting a fraction to a terminating decimal
|
|
|
|
650
|
|
|
Converting a fraction to a repeating decimal
|
|
|
|
651
|
|
|
Converting a mixed number to a decimal
|
|
|
|
652
|
|
|
Multiplication of a decimal by a power of ten
|
|
|
|
653
|
|
|
Multiplication of a decimal by a whole number
|
|
|
|
654
|
|
|
Decimal multiplication: Problem type 1
|
|
|
|
655
|
|
|
Division of a decimal by a power of ten
|
|
|
|
656
|
|
|
Division of a decimal by a whole number
|
|
|
|
657
|
|
|
Decimal division
|
|
|
|
658
|
|
|
Word problem with one decimal operation: Problem type 1
|
|
|
|
659
|
|
|
Word problem with one decimal operation: Problem type 2
|
|
|
|
660
|
|
|
Word problem using decimal addition and multiplication
|
|
|
|
661
|
|
|
Word problem using decimal subtraction and division
|
|
|
|
662
|
|
|
Percents:
|
|
|
|
663
|
|
|
Converting
between percentages and decimals
|
|
|
|
664
|
|
|
Converting
a percentage to a fraction
|
|
|
|
665
|
|
|
Converting
a fraction to a percentage
|
|
|
|
666
|
|
|
Percentage
of a whole number
|
|
|
|
667
|
|
|
Writing
a ratio as a percentage
|
|
|
|
668
|
|
|
Word
problem on percentage: Problem type 1
|
|
|
|
669
|
|
|
Word
problem on percentage: Problem type 2
|
|
|
|
670
|
|
|
Word
problem on percentage: Problem type 3
|
|
|
|
671
|
|
|
Simple
interest
|
|
|
|
672
|
|
|
Geometry:
|
|
|
|
673
|
|
|
Supplementary
and complementary angles
|
|
|
|
674
|
|
|
Perimeter of a square or a rectangle
|
|
|
|
675
|
|
|
Perimeter of a polygon
|
|
|
|
676
|
|
|
Area of a square or a rectangle
|
|
|
|
677
|
|
|
Area of a triangle
|
|
|
|
678
|
|
|
Circumference and area of a circle
|
|
|
|
679
|
|
|
Volume of a cube or a rectangular prism
|
|
|
|
680
|
|
|
Volume of a cylinder
|
|
|
|
681
|
|
|
Data analysis
|
|
|
|
682
|
|
|
Mean and median of a data set
|
|
|
|
683
|
|
|
Interpreting bar graphs
|
|
|
|
684
|
|
|
Computations from circle graphs
|
|
|
|
685
|
|
|
Interpreting circle graphs or pie charts
|
|
|
|
686
|
|
|
Linear equations &
inequalities
|
|
|
|
687
|
|
|
Linear equations
|
|
|
|
688
|
|
|
Additive property of equality: Problem type 1
|
|
|
|
689
|
|
|
Additive property of equality: Problem type 2
|
|
|
|
690
|
|
|
Additive property of equality: Problem type 3
|
|
|
|
691
|
|
|
Additive property of equality with decimals
|
|
|
|
692
|
|
|
Additive property of equality with fractions
|
|
|
|
693
|
|
|
Multiplicative property of equality: Problem type 1
|
|
|
|
694
|
|
|
Multiplicative property of equality: Problem type 2
|
|
|
|
695
|
|
|
Multiplicative property of equality with fractions
|
|
|
|
696
|
|
|
Using two steps to solve an equation
|
|
|
|
697
|
|
|
Solving a linear equation: Problem type 1
|
|
|
|
698
|
|
|
Solving a linear equation: Problem type 2
|
|
|
|
699
|
|
|
Solving a linear equation: Problem type 3
|
|
|
|
700
|
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 1
|
|
|
|
701
|
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 2
|
|
|
|
702
|
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 3
|
|
|
|
703
|
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 4
|
|
|
|
704
|
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 5
|
|
|
|
705
|
|
|
Inequalities:
|
|
|
|
706
|
|
|
Writing an inequality
|
|
|
|
707
|
|
|
Writing a compound inequality
|
|
|
|
708
|
|
|
Solving a linear inequality: Problem type 1
|
|
|
|
709
|
|
|
Solving a linear inequality: Problem type 2
|
|
|
|
710
|
|
|
Solving a linear inequality: Problem type 3
|
|
|
|
711
|
|
|
Solving a linear inequality: Problem type 4
|
|
|
|
712
|
|
|
Graphing a linear inequality on the number line
|
|
|
|
713
|
|
|
Graphing a compound linear inequality on the number line
|
|
|
|
714
|
|
|
Applications
|
|
|
|
715
|
|
|
Translating sentences into equations
|
|
|
|
716
|
|
|
Introduction to algebraic symbol manipulation
|
|
|
|
717
|
|
|
Algebraic symbol manipulation
|
|
|
|
718
|
|
|
Solving a word problem using a linear equation: Problem type 1
|
|
|
|
719
|
|
|
Solving a word problem using a linear equation: Problem type 2
|
|
|
|
720
|
|
|
Solving a word problem using a linear equation: Problem type 3
|
|
|
|
721
|
|
|
Solving a word problem using a linear equation: Problem type 4
|
|
|
|
722
|
|
|
Finding the value for a new score that will yield a given mean
|
|
|
|
723
|
|
|
Sum of the angle measures of a triangle
|
|
|
|
724
|
|
|
Vertical angles and linear pairs
|
|
|
|
725
|
|
|
Finding the side length of a rectangle given its perimeter or
area
|
|
|
|
726
|
|
|
Area and perimeter of a rectangle
|
|
|
|
727
|
|
|
Word problem 'with linear inequalities
|
|
|
|
728
|
|
|
Integer exponents &
polynomials
|
|
|
|
729
|
|
|
Exponents:
|
|
|
|
730
|
|
|
Product rule of exponents
|
|
|
|
731
|
|
|
Quotients of expressions involving exponents
|
|
|
|
732
|
|
|
Writing a positive number without a negative exponent
|
|
|
|
733
|
|
|
Writing a negative number without a negative exponent
|
|
|
|
734
|
|
|
Power rule: Positive exponents
|
|
|
|
735
|
|
|
Power rule: Negative exponents
|
|
|
|
736
|
|
|
Multiplying monomials
|
|
|
|
737
|
|
|
Product rule of exponents in a multivariate monomial
|
|
|
|
738
|
|
|
Ordering numbers with positive exponents
|
|
|
|
739
|
|
|
Ordering numbers with negative exponents
|
|
|
|
740
|
|
|
Scientific notation with positive exponent
|
|
|
|
741
|
|
|
Scientific notation with negative exponent
|
|
|
|
742
|
|
|
Multiplying and dividing numbers written in scientific
notation
|
|
|
|
743
|
|
|
Polynomial
arithmetic
|
|
|
|
744
|
|
|
Combining
like terms: Advanced
|
|
|
|
745
|
|
|
Simplifying
a polynomial expression
|
|
|
|
746
|
|
|
Multiplying
two binomials
|
|
|
|
747
|
|
|
Squaring
a binomial
|
|
|
|
748
|
|
|
Multiplying
polynomials
|
|
|
|
749
|
|
|
Degree
of a multivariate polynomial
|
|
|
|
750
|
|
|
Polynomial
long division: Linear divisor
|
|
|
|
751
|
|
|
Polynomial
long division: Quadratic divisor
|
|
|
|
752
|
|
|
Factoring:
|
|
|
|
753
|
|
|
Factoring a quadratic with leading coefficient 1
|
|
|
|
754
|
|
|
Factoring a quadratic with leading coefficient greater than 1
|
|
|
|
755
|
|
|
Factoring a perfect square
|
|
|
|
756
|
|
|
Factoring a quadratic polynomial in two variables
|
|
|
|
757
|
|
|
Factoring a product of a quadratic trinomial and a monomial
|
|
|
|
758
|
|
|
Factoring a difference of squares
|
|
|
|
759
|
|
|
Factoring with repeated use of the difference of squares
formula
|
|
|
|
760
|
|
|
Greatest common factor of two monomials
|
|
|
|
761
|
|
|
Factoring a multivariate polynomial by grouping: Problem type
1
|
|
|
|
762
|
|
|
Factoring a multivariate polynomial by grouping: Problem type
2
|
|
|
|
763
|
|
|
Factoring a sum or difference of two cubes
|
|
|
|
764
|
|
|
Radicals &
rational exponents
|
|
|
|
765
|
|
|
Square roots
|
|
|
|
766
|
|
|
Square root of a rational perfect square
|
|
|
|
767
|
|
|
Square root of a perfect square monomial
|
|
|
|
768
|
|
|
Square root simplification
|
|
|
|
769
|
|
|
Simplifying a radical expression: Problem type 1
|
|
|
|
770
|
|
|
Simplifying a radical expression: Problem type 2
|
|
|
|
771
|
|
|
Square root addition
|
|
|
|
772
|
|
|
Simplifying a sum of radical expressions
|
|
|
|
773
|
|
|
Square root multiplication
|
|
|
|
774
|
|
|
Simplifying a product of radical expressions
|
|
|
|
775
|
|
|
Simplifying a product of radical expressions using the
distributive property
|
|
|
|
776
|
|
|
Rationalizing the denominator of a radical expression
|
|
|
|
777
|
|
|
Rationalizing the denominator of a radical expression using
conjugates
|
|
|
|
778
|
|
|
Solving an equation with radicals: Problem type 1
|
|
|
|
779
|
|
|
Solving an equation with radicals: Problem type 2
|
|
|
|
780
|
|
|
Solving an equation with radicals: Problem type 3
|
|
|
|
781
|
|
|
Pythagoras
theorem
|
|
|
|
782
|
|
|
Pythagorean
Theorem
|
|
|
|
783
|
|
|
Rational
exponents
|
|
|
|
784
|
|
|
Cube
root of an integer
|
|
|
|
785
|
|
|
Simplifying
a higher radical: Problem type 1
|
|
|
|
786
|
|
|
Simplifying a higher radical: Problem type 2
|
|
|
|
787
|
|
|
Even root property
|
|
|
|
788
|
|
|
Solving an equation with exponent using the even-root property
|
|
|
|
789
|
|
|
Real numbers & variables
|
|
|
|
790
|
|
|
Integers and rational numbers:
|
|
|
|
791
|
|
|
Plotting rational numbers on a number line
|
|
|
|
792
|
|
|
Integer addition: Problem type 1
|
|
|
|
793
|
|
|
Integer addition: Problem type 2
|
|
|
|
794
|
|
|
Integer subtraction
|
|
|
|
795
|
|
|
Integer multiplication and division
|
|
|
|
796
|
|
|
Signed fraction addition
|
|
|
|
797
|
|
|
Signed fraction multiplication
|
|
|
|
798
|
|
|
Signed decimal addition
|
|
|
|
799
|
|
|
Introduction to exponents
|
|
|
|
800
|
|
|
Evaluating expressions with exponents: Problem type 1
|
|
|
|
801
|
|
|
Evaluating expressions with exponents: Problem type 2
|
|
|
|
802
|
|
|
Exponents and order of operations
|
|
|
|
803
|
|
|
Square root of a perfect square
|
|
|
|
804
|
|
|
Estimating a square root
|
|
|
|
805
|
|
|
Absolute value of a number
|
|
|
|
806
|
|
|
Properties
of real numbers
|
|
|
|
807
|
|
|
Integers
and rational numbers
|
|
|
|
808
|
|
|
Rational
and irrational numbers
|
|
|
|
809
|
|
|
Properties
of addition
|
|
|
|
810
|
|
|
Properties
of real numbers
|
|
|
|
811
|
|
|
Variables
and algebraic expressions
|
|
|
|
812
|
|
|
Evaluation
of a linear expression in two variables
|
|
|
|
813
|
|
|
Evaluation
of a polynomial in one variable
|
|
|
|
814
|
|
|
Distributive
property: Basic
|
|
|
|
815
|
|
|
Distributive
Property: Advanced
|
|
|
|
816
|
|
|
Combining
like terms: Basic
|
|
|
|
817
|
|
|
Writing
a mathematical expression
|
|
|
|
818
|
|
|
Functions, lines, systems of equations
|
|
|
|
819
|
|
|
Sets,
relations, and functions:
|
|
|
|
820
|
|
|
Set
builder notation
|
|
|
|
821
|
|
|
Function
tables
|
|
|
|
822
|
|
|
Graphing
integer functions
|
|
|
|
823
|
|
|
Domain
and range: Problem type 1
|
|
|
|
824
|
|
|
Vertical
line test
|
|
|
|
825
|
|
|
Graphing
linear equations and inequalities
|
|
|
|
826
|
|
|
Reading
a point in the coordinate plane
|
|
|
|
827
|
|
|
Plotting
a point in the coordinate plane
|
|
|
|
828
|
|
|
Graphing a line given the x-and y-intercepts
|
|
|
|
829
|
|
|
Graphing a line given its equation in slope-intercept form
|
|
|
|
830
|
|
|
Graphing a line given its equation in standard form
|
|
|
|
831
|
|
|
Graphing a line through a given point with a given slope
|
|
|
|
832
|
|
|
Graphing a vertical or horizontal line
|
|
|
|
833
|
|
|
Graphing a linear inequality in the plane: Problem type 1
|
|
|
|
834
|
|
|
Graphing a linear inequality in the plane: Problem type 2
|
|
|
|
835
|
|
|
Writing equations and drawing graphs to fit a narrative
|
|
|
|
836
|
|
|
Properties of lines:
|
|
|
|
837
|
|
|
Solutions to a linear equation in two variables: Problem type
1
|
|
|
|
838
|
|
|
Solutions to a linear equation in two variables: Problem type
2
|
|
|
|
839
|
|
|
Y-intercept of a line
|
|
|
|
840
|
|
|
X-and y-intercepts of a line given the equation in standard
form
|
|
|
|
841
|
|
|
Finding the slope of a line given its equation
|
|
|
|
842
|
|
|
Determining the slope of a line given its graph
|
|
|
|
843
|
|
|
Writing an equation of a line given the y-intercept and a
point
|
|
|
|
844
|
|
|
Writing the equation of a line given the slope and a point on
the line
|
|
|
|
845
|
|
|
Writing the equation of the line through two given points
|
|
|
|
846
|
|
|
Writing the equations of vertical and horizontal lines through
a given point
|
|
|
|
847
|
|
|
Application problem with a linear function: Problem type 1
|
|
|
|
848
|
|
|
Application problem with a linear function: Problem type 2
|
|
|
|
849
|
|
|
Slopes of parallel and perpendicular lines: Problem type 1
|
|
|
|
850
|
|
|
Slopes of parallel and perpendicular lines: Problem type 2
|
|
|
|
851
|
|
|
Interpreting line graphs
|
|
|
|
852
|
|
|
Interpreting the graphs of two functions
|
|
|
|
853
|
|
|
Systems of linear equations
|
|
|
|
854
|
|
|
Classifying a system of linear equations
|
|
|
|
855
|
|
|
Solving a system of linear equations
|
|
|
|
856
|
|
|
Solving a word problem using a system of linear equations:
Problem type 1
|
|
|
|
857
|
|
|
Solving a word problem using a system of linear equations:
Problem type 2
|
|
|
|
858
|
|
|
Solving a word problem using a system of linear equations:
Problem type 3
|
|
|
|
859
|
|
|
Solving a word problem using a system of linear equations: Problem
type 4
|
|
|
|
860
|
|
|
Solving a word problem using a system of linear equations:
Problem type 5
|
|
|
|
861
|
|
|
Graphing a system of linear inequalities
|
|
|
|
862
|
|
|
Simplifying expressions
|
|
|
|
863
|
|
|
multiplying rational expressions: Problem type 1
|
|
|
|
864
|
|
|
Multiplying rational expressions: Problem type 2
|
|
|
|
865
|
|
|
Dividing rational expressions
|
|
|
|
866
|
|
|
Complex fraction: Problem type 1
|
|
|
|
867
|
|
|
Adding rational expressions with common denominator
|
|
|
|
868
|
|
|
Adding rational expressions
|
|
|
|
869
|
|
|
Least common multiple of two monomials
|
|
|
|
870
|
|
|
Adding rational expressions with different denominators
|
|
|
|
871
|
|
|
Adding and subtracting rational expressions: Problem type 1
|
|
|
|
872
|
|
|
Adding and subtracting rational expressions: Problem type 2
|
|
|
|
873
|
|
|
Simplifying a ratio of polynomials: Problem type 1
|
|
|
|
874
|
|
|
Ratio of multivariate polynomials
|
|
|
|
875
|
|
|
Solving equations
|
|
|
|
876
|
|
|
Solving a proportion: Basic
|
|
|
|
877
|
|
|
Solving a proportion: Advanced
|
|
|
|
878
|
|
|
Restriction on variable in a denominator
|
|
|
|
879
|
|
|
Solving a rational equation that simplifies to a linear
equation: Problem type 1
|
|
|
|
880
|
|
|
Solving a rational equation that simplifies to a linear
equation: Problem type 2
|
|
|
|
881
|
|
|
Solving a rational equation that simplifies to a linear
equation: Problem type 3
|
|
|
|
882
|
|
|
Solving a rational equation that simplifies to a quadratic
equation: Problem type 1
|
|
|
|
883
|
|
|
Solving a rational equation that simplifies to a quadratic
equation: Problem type 2
|
|
|
|
884
|
|
|
Applications:
|
|
|
|
885
|
|
|
Basic word problem on rates
|
|
|
|
886
|
|
|
Word problem on rates
|
|
|
|
887
|
|
|
Word problem involving multiple rates
|
|
|
|
888
|
|
|
Word problem on proportions: Problem type 1
|
|
|
|
889
|
|
|
Word problem on proportions: Problem type 2
|
|
|
|
890
|
|
|
Word problem on inverse proportions
|
|
|
|
891
|
|
|
Word problem on direct variation
|
|
|
|
892
|
|
|
Word problem on inverse variation
|
|
|
|
893
|
|
|
Similar polygons
|
|
|
|
894
|
|
|
Metric distance conversion with whole number values
|
|
|
|
895
|
|
|
Customary unit conversion with whole number values
|
|
|
|
896
|
|
|
Complex numbers &
quadratic equations
|
|
|
|
897
|
|
|
Quadratic equations and functions
|
|
|
|
898
|
|
|
Solving equations written in factored form
|
|
|
|
899
|
|
|
Finding the roots of a quadratic equation with leading
coefficient 1
|
|
|
|
900
|
|
|
Finding the roots of a quadratic equation with leading
coefficient greater than 1
|
|
|
|
901
|
|
|
Solving a quadratic equation needing simplification
|
|
|
|
902
|
|
|
Solving a word problem using a quadratic equation with
rational roots
|
|
|
|
903
|
|
|
Completing the square
|
|
|
|
904
|
|
|
Solving a quadratic equation using the quadratic formula
|
|
|
|
905
|
|
|
Discriminant of a quadratic equation
|
|
|
|
906
|
|
|
Solving a word problem using a quadratic equation with
irrational roots
|
|
|
|
907
|
|
|
Graphing:
|
|
|
|
908
|
|
|
Finding the x-intercept(s) and the vertex of a parabola
|
|
|
|
909
|
|
|
Graphing a parabola: Problem type 1
|
|
|
|
910
|
|
|
Graphing a parabola: Problem type 2
|
|
|
|
911
|
|
|
Graphing a parabola: Problem type 3
|
|
|
|
912
|
|
|
Intermediate Algebra
|
|
|
|
913
|
|
|
Real numbers &
linear equations
|
|
|
|
914
|
|
|
Real
numbers
|
|
|
|
915
|
|
|
Solving
linear equations
|
|
|
|
916
|
|
|
Applications
of linear equations
|
|
|
|
917
|
|
|
Absolute
value
|
|
|
|
918
|
|
|
Systems of linear equations
|
|
|
|
919
|
|
|
Solving
and graphing
|
|
|
|
920
|
|
|
Applications
|
|
|
|
921
|
|
|
Rational expressions & functions
|
|
|
|
922
|
|
|
Simplifying
expressions
|
|
|
|
923
|
|
|
Solving
equations
|
|
|
|
924
|
|
|
Applications
|
|
|
|
925
|
|
|
Direct
and inverse variations
|
|
|
|
926
|
|
|
Functions &
logarithms
|
|
|
|
927
|
|
|
Functions
|
|
|
|
928
|
|
|
Laws
of logarithms
|
|
|
|
929
|
|
|
Solving
equations
|
|
|
|
930
|
|
|
Graphing
|
|
|
|
931
|
|
|
Graphs &
linear functions
|
|
|
|
932
|
|
|
Ordered
pairs
|
|
|
|
933
|
|
|
Graphing
lines
|
|
|
|
934
|
|
|
Equations
of lines
|
|
|
|
935
|
|
|
Inequalities
in two variables
|
|
|
|
936
|
|
|
Sets,
Relations, and Functions Exponents & polynomials
|
|
|
|
937
|
|
|
Integer
and rational exponents
|
|
|
|
938
|
|
|
Manipulating
polynomial expressions
|
|
|
|
939
|
|
|
Factoring
Radicals & quadratic equations
|
|
|
|
940
|
|
|
Radicals
and rational exponents
|
|
|
|
941
|
|
|
Complex
numbers
|
|
|
|
942
|
|
|
Quadratic
equations
|
|
|
|
943
|
|
|
Parabolas
Real numbers & linear
equations
|
|
|
|
944
|
|
|
Real
numbers:
|
|
|
|
945
|
|
|
Plotting rational numbers on a number line
|
|
|
|
946
|
|
|
Absolute value of a number
|
|
|
|
947
|
|
|
Operations with absolute value
|
|
|
|
948
|
|
|
Signed fraction addition
|
|
|
|
949
|
|
|
Signed fraction multiplication
|
|
|
|
950
|
|
|
Signed decimal addition
|
|
|
|
951
|
|
|
Evaluating expressions with, exponents: Problem type 1
|
|
|
|
952
|
|
|
Evaluating expressions with exponents: Problem type 2
|
|
|
|
953
|
|
|
Evaluation of a linear expression in two variables
|
|
|
|
954
|
|
|
Evaluation of a polynomial in one variable
|
|
|
|
955
|
|
|
Exponents and order of operations
|
|
|
|
956
|
|
|
Square root of a perfect square
|
|
|
|
957
|
|
|
Integers and rational numbers
|
|
|
|
958
|
|
|
Rational and irrational numbers
|
|
|
|
959
|
|
|
Writing a mathematical expression
|
|
|
|
960
|
|
|
Translating sentences into equations
|
|
|
|
961
|
|
|
Writing an inequality
|
|
|
|
962
|
|
|
Writing a compound inequality
|
|
|
|
963
|
|
|
Distributive property: Basic
|
|
|
|
964
|
|
|
Distributive Property: Advanced
|
|
|
|
965
|
|
|
Combining like terms: Basic
|
|
|
|
966
|
|
|
Combining like terms: Advanced
|
|
|
|
967
|
|
|
Properties of addition
|
|
|
|
968
|
|
|
Properties of real numbers
|
|
|
|
969
|
|
|
Solving linear equations
|
|
|
|
970
|
|
|
Additive property of equality: Problem type 2
|
|
|
|
971
|
|
|
Additive property of equality: Problem type 3
|
|
|
|
972
|
|
|
Multiplicative property of equality with fractions
|
|
|
|
973
|
|
|
Multiplicative property of equality: Problem type 1
|
|
|
|
974
|
|
|
Multiplicative property of equality: Problem type 2
|
|
|
|
975
|
|
|
Solving a linear equation: Problem type 1
|
|
|
|
976
|
|
|
Solving a linear equation: Problem type 2
|
|
|
|
977
|
|
|
Solving a linear equation: Problem type 3
|
|
|
|
978
|
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 1
|
|
|
|
979
|
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 2
|
|
|
|
980
|
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 3
|
|
|
|
981
|
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 4
|
|
|
|
982
|
|
|
Solving a linear equation with several occurrences of the
variable: Problem type 5
|
|
|
|
983
|
|
|
Introduction to algebraic symbol manipulation
|
|
|
|
984
|
|
|
Algebraic symbol manipulation
|
|
|
|
985
|
|
|
Solving a linear inequality: Problem type 1
|
|
|
|
986
|
|
|
Solving a linear inequality: Problem type 2
|
|
|
|
987
|
|
|
Solving a linear inequality: Problem type 3
|
|
|
|
988
|
|
|
Solving a linear inequality: Problem type 4
|
|
|
|
989
|
|
|
Graphing a linear inequality on the number line
|
|
|
|
990
|
|
|
Graphing a compound linear inequality on the number line
|
|
|
|
991
|
|
|
Applications of linear equations
|
|
|
|
992
|
|
|
Solving a word problem using a linear equation: Problem type 1
|
|
|
|
993
|
|
|
Solving a word problem using a linear equation: Problem type 2
|
|
|
|
994
|
|
|
Solving a word problem using a linear equation: Problem type 3
|
|
|
|
995
|
|
|
Solving a word problem using a linear equation: Problem type 4
|
|
|
|
996
|
|
|
Word problem ",1.th linear inequalities
|
|
|
|
997
|
|
|
Random samples and prediction
|
|
|
|
998
|
|
|
Simple interest
|
|
|
|
999
|
|
|
Computations from circle graphs
|
|
|
|
1000
|
|
|
Word problem on percentage: Problem type 1
|
|
|
|
1001
|
|
|
Word problem on percentage: Problem type 2
|
|
|
|
1002
|
|
|
Word problem on percentage: Problem type 3
|
|
|
|
1003
|
|
|
Finding the value for a new score that will yield a given mean
|
|
|
|
1004
|
|
|
Perimeter of a square or a rectangle
|
|
|
|
1005
|
|
|
Sides of polygons having the same perimeter
|
|
|
|
1006
|
|
|
Area of a square or a rectangle
|
|
|
|
1007
|
|
|
Finding the side length of a rectangle given its perimeter or
area
|
|
|
|
1008
|
|
|
Area and perimeter of a rectangle
|
|
|
|
1009
|
|
|
Volume of a cube or a rectangular prism
|
|
|
|
1010
|
|
|
Circumference and area of a circle
|
|
|
|
1011
|
|
|
Area between two concentric circles
|
|
|
|
1012
|
|
|
Surface area of a cube or a rectangular prism
|
|
|
|
1013
|
|
|
Surface area of a cylinder
|
|
|
|
1014
|
|
|
Volume of a cylinder
|
|
|
|
1015
|
|
|
Rate of filling of a solid
|
|
|
|
1016
|
|
|
Absolute value
|
|
|
|
1017
|
|
|
Simple absolute value equation
|
|
|
|
1018
|
|
|
Solving an equation involving absolute value: Basic
|
|
|
|
1019
|
|
|
Solving an equation involving absolute value: Advanced
|
|
|
|
1020
|
|
|
Solving an inequality involving absolute value
|
|
|
|
1021
|
|
|
Solving an inequality involving absolute value: Basic
|
|
|
|
1022
|
|
|
Systems of linear equations
|
|
|
|
1023
|
|
|
Solving
and graphing
|
|
|
|
1024
|
|
|
Classifying
a system of linear equations
|
|
|
|
1025
|
|
|
Solving
a system of linear equations
|
|
|
|
1026
|
|
|
Creating
an inconsistent system of linear equations
|
|
|
|
1027
|
|
|
Interpreting
the graphs of two functions
|
|
|
|
1028
|
|
|
Graphing
a system of linear inequalities
|
|
|
|
1029
|
|
|
Applications:
|
|
|
|
1030
|
|
|
Solving a word problem using a system of linear equations:
Problem type 1
|
|
|
|
1031
|
|
|
Solving a word problem using a system of linear equations:
Problem type 2
|
|
|
|
1032
|
|
|
Solving a word problem using a system of linear equations:
Problem type 3
|
|
|
|
1033
|
|
|
Solving a word problem using a system of linear equations:
Problem type 4
|
|
|
|
1034
|
|
|
Solving a word problem using a system of linear equations:
Problem type 5
|
|
|
|
1035
|
|
|
Rational expressions & functions
|
|
|
|
1036
|
|
|
Simplifying expressions
|
|
|
|
1037
|
|
|
Multiplying rational expressions: Problem type 1
|
|
|
|
1038
|
|
|
Multiplying rational expressions: Problem type 2
|
|
|
|
1039
|
|
|
Dividing rational expressions
|
|
|
|
1040
|
|
|
Complex fraction: Problem type 1
|
|
|
|
1041
|
|
|
Complex Fraction: Problem type 2
|
|
|
|
1042
|
|
|
Adding rational expressions with common denominator
|
|
|
|
1043
|
|
|
Adding rational expressions
|
|
|
|
1044
|
|
|
Adding rational expressions with different denominators
|
|
|
|
1045
|
|
|
Adding and subtracting rational expressions: Problem type 1
|
|
|
|
1046
|
|
|
Adding and subtracting rational expressions: Problem type 2
|
|
|
|
1047
|
|
|
Simplifying a ratio of polynomials: Problem type 1
|
|
|
|
1048
|
|
|
Simplifying a ratio of polynomials: Problem type 2
|
|
|
|
1049
|
|
|
Solving equations
|
|
|
|
1050
|
|
|
Restriction on variable in a denominator
|
|
|
|
1051
|
|
|
Solving a rational equation that simplifies to a linear
equation: Problem type 1
|
|
|
|
1052
|
|
|
Solving a rational equation that simplifies to a linear
equation: Problem type 2
|
|
|
|
1053
|
|
|
Solving a rational equation that simplifies to a linear
equation: Problem type 3
|
|
|
|
1054
|
|
|
Solving a rational equation that simplifies to a quadratic
equation: Problem type 1
|
|
|
|
1055
|
|
|
Solving a rational equation that simplifies to a quadratic
equation: Problem type 2
|
|
|
|
1056
|
|
|
Solving a rational equation that simplifies to a quadratic
equation: Problem type 3
|
|
|
|
1057
|
|
|
Applications:
|
|
|
|
1058
|
|
|
Word
problem on rates
|
|
|
|
1059
|
|
|
Basic
word problem on rates
|
|
|
|
1060
|
|
|
Solving
a proportion: Advanced
|
|
|
|
1061
|
|
|
Word
problem on proportions: Problem type 1
|
|
|
|
1062
|
|
|
Word
problem on proportions: Problem type 2
|
|
|
|
1063
|
|
|
Word
problem involving multiple rates
|
|
|
|
1064
|
|
|
Direct
and inverse variations:
|
|
|
|
1065
|
|
|
Ordering
fractions with variables
|
|
|
|
1066
|
|
|
Word
problem on inverse proportions
|
|
|
|
1067
|
|
|
Similar
polygons
|
|
|
|
1068
|
|
|
Word
problem on direct variation
|
|
|
|
1069
|
|
|
Word
problem on inverse variation
|
|
|
|
1070
|
|
|
Ratio
of volumes
|
|
|
|
1071
|
|
|
Circumference ratios
|
|
|
|
1072
|
|
|
Functions &
logarithms
|
|
|
|
4073
|
|
|
Functions:
|
|
|
|
1074
|
|
|
Sum, difference, and product of two functions
|
|
|
|
1075
|
|
|
Quotient of two functions
|
|
|
|
1076
|
|
|
Domain of a square root function
|
|
|
|
1077
|
|
|
Vertical translation of the graph of a function
|
|
|
|
1078
|
|
|
Vertical and horizontal translations of the graph of a
function
|
|
|
|
1079
|
|
|
Horizontal line test
|
|
|
|
1080
|
|
|
Inverse functions: Basic
|
|
|
|
1081
|
|
|
Inverse functions: Advanced
|
|
|
|
1082
|
|
|
Composition of two functions: Domain and range
|
|
|
|
1083
|
|
|
Composition of two functions: Basic
|
|
|
|
1084
|
|
|
Composition of two functions: Advanced
|
|
|
|
1085
|
|
|
Laws
of logarithms:
|
|
|
|
1086
|
|
|
Exponential
and logarithmic equations
|
|
|
|
1087
|
|
|
Evaluating
a logarithmic expression
|
|
|
|
1088
|
|
|
Basic
properties of logarithms
|
|
|
|
1089
|
|
|
Change
of base for logarithms
|
|
|
|
1090
|
|
|
Solving
equations:
|
|
|
|
1091
|
|
|
Solving
a logarithmic equation: Problem type 1
|
|
|
|
1092
|
|
|
Solving
a logarithmic equation: Problem type 2
|
|
|
|
1093
|
|
|
Solving
an exponential equation: Problem type 1
|
|
|
|
1094
|
|
|
Solving
an exponential equation: Problem type 2
|
|
|
|
1095
|
|
|
Solving
a word problem using an exponential equation: Problem type 1
|
|
|
|
1096
|
|
|
Solving
a word problem using an exponential equation: Problem type 2
|
|
|
|
1097
|
|
|
Solving
a word problem using an exponential equation: Problem type 3
|
|
|
|
1098
|
|
|
Graphing:
|
|
|
|
1099
|
|
|
Graphing
a simple cubic function
|
|
|
|
1100
|
|
|
Graphing
an equation involving absolute value in the plane
|
|
|
|
1101
|
|
|
Sketching
the graph of an exponential function: Basic
|
|
|
|
1102
|
|
|
Graphs &
linear functions
|
|
|
|
1103
|
|
|
Ordered pairs
|
|
|
|
1104
|
|
|
Reading a point in the coordinate plane
|
|
|
|
1105
|
|
|
Plotting a point in the coordinate plane
|
|
|
|
1106
|
|
|
Solutions to a linear equation in two variables: Problem type
1
|
|
|
|
1107
|
|
|
Solutions to a linear equation in two variables: Problem type
2
|
|
|
|
1108
|
|
|
Graphing
lines
|
|
|
|
1109
|
|
|
Graphing
a line given the x-and y-intercepts
|
|
|
|
1110
|
|
|
Graphing
a line given its equation in slope-intercept form
|
|
|
|
1111
|
|
|
Graphing
a line given its equation in standard form
|
|
|
|
1112
|
|
|
Graphing
a line through a given point with a given slope
|
|
|
|
1113
|
|
|
Determining
the slope of a line given its graph
|
|
|
|
1114
|
|
|
Graphing
a vertical or horizontal line
|
|
|
|
1115
|
|
|
Equations
of lines
|
|
|
|
1116
|
|
|
X-and
y-intercepts of a line given the equation in standard form
|
|
|
|
1117
|
|
|
Finding
the slope of a line given its equation
|
|
|
|
1118
|
|
|
Writing
an equation of a line given the y-intercept and a point
|
|
|
|
1119
|
|
|
Writing
the equation of a line given the slope and a point on the line
|
|
|
|
1120
|
|
|
Writing
the equation of the line through two given points
|
|
|
|
1121
|
|
|
Writing
the equations of vertical and horizontal lines through a given point
|
|
|
|
1122
|
|
|
Writing
equations and drawing graphs to fit a narrative
|
|
|
|
1123
|
|
|
Application
problem with a linear function: Problem type 1
|
|
|
|
1124
|
|
|
Application
problem with a linear function: Problem type 2
|
|
|
|
1125
|
|
|
Slopes
of parallel and perpendicular lines: Problem type 1
|
|
|
|
1126
|
|
|
Slopes
of parallel and perpendicular lines: Problem type 2
|
|
|
|
1127
|
|
|
Inequalities
in two variables:
|
|
|
|
1128
|
|
|
Graphing
a linear inequality in the plane: Problem type 1
|
|
|
|
1129
|
|
|
Graphing
a linear inequality in the plane: Problem type 2
|
|
|
|
1130
|
|
|
Sets,
Relations, and Functions:
|
|
|
|
1131
|
|
|
Set builder notation
|
|
|
|
1132
|
|
|
Union and intersection of finite sets
|
|
|
|
1133
|
|
|
Set builder and interval notation
|
|
|
|
1134
|
|
|
Union and intersection of intervals
|
|
|
|
1135
|
|
|
Function tables
|
|
|
|
1136
|
|
|
Graphing integer functions
|
|
|
|
1137
|
|
|
Domain and range: Problem type 1
|
|
|
|
1138
|
|
|
Domain and range: Problem type 2
|
|
|
|
1139
|
|
|
Vertical line test
|
|
|
|
1140
|
|
|
Exponents &
polynomials
|
|
|
|
1141
|
|
|
Integer and rational exponents
|
|
|
|
1142
|
|
|
Product rule of exponents
|
|
|
|
1143
|
|
|
Multiplying monomials
|
|
|
|
1144
|
|
|
Quotients of expressions involving exponents
|
|
|
|
1145
|
|
|
Power rule: Positive exponents
|
|
|
|
1146
|
|
|
Writing a positive number without a negative exponent
|
|
|
|
1147
|
|
|
Writing a negative number without a negative exponent
|
|
|
|
1148
|
|
|
Power rule: Negative exponents
|
|
|
|
1149
|
|
|
Product rule of exponents in a multivariate monomial
|
|
|
|
1150
|
|
|
Ordering numbers with positive exponents
|
|
|
|
1151
|
|
|
Ordering numbers with negative exponents
|
|
|
|
1152
|
|
|
Scientific notation with positive exponent
|
|
|
|
1153
|
|
|
Scientific notation with negative exponent
|
|
|
|
1154
|
|
|
Multiplying and dividing numbers Written in scientific
notation
|
|
|
|
1155
|
|
|
Manipulating polynomial expressions:
|
|
|
|
1156
|
|
|
Degree of a multivariate polynomial
|
|
|
|
1157
|
|
|
Simplifying a polynomial expression
|
|
|
|
1158
|
|
|
Multiplying two binomials
|
|
|
|
1159
|
|
|
Squaring a binomial
|
|
|
|
1160
|
|
|
Multiplying polynomials
|
|
|
|
1161
|
|
|
Polynomial long division: Linear divisor
|
|
|
|
1162
|
|
|
Polynomial long division: Quadratic divisor
|
|
|
|
1163
|
|
|
Synthetic division
|
|
|
|
1164
|
|
|
Factoring:
|
|
|
|
1165
|
|
|
Factoring a quadratic with leading coefficient 1
|
|
|
|
1166
|
|
|
Factoring a quadratic with leading coefficient greater than 1
|
|
|
|
1167
|
|
|
Factoring a quadratic polynomial in two variables
|
|
|
|
1168
|
|
|
Factoring a perfect square
|
|
|
|
1169
|
|
|
Factoring a product of a quadratic trinomial and a monomial
|
|
|
|
1170
|
|
|
Finding the roots of a quadratic equation with leading
coefficient 1
|
|
|
|
1171
|
|
|
Finding the roots of a quadratic equation with leading
coefficient greater than 1
|
|
|
|
1172
|
|
|
Solving a quadratic equation needing simplification
|
|
|
|
1173
|
|
|
Solving equations written in factored form
|
|
|
|
1174
|
|
|
Roots of a product of polynomials
|
|
|
|
1175
|
|
|
Solving a word problem using a quadratic equation with
rational roots
|
|
|
|
1176
|
|
|
Writing a quadratic equation given the roots and the leading
coefficient
|
|
|
|
1177
|
|
|
Factoring a difference of squares
|
|
|
|
1178
|
|
|
Factoring with repeated use of the difference of squares
formula
|
|
|
|
1179
|
|
|
Factoring a sum or difference of two cubes
|
|
|
|
1180
|
|
|
Greatest common factor of two monomials
|
|
|
|
1181
|
|
|
Least common multiple of two monomials
|
|
|
|
1182
|
|
|
Factoring a multivariate polynomial by grouping: Problem type
1
|
|
|
|
1183
|
|
|
Factoring a multivariate polynomial by grouping: Problem type
2
|
|
|
|
1184
|
|
|
Radicals & quadratic equations
|
|
|
|
1185
|
|
|
Radicals and rational exponents:
|
|
|
|
1186
|
|
|
Square root of a rational perfect square
|
|
|
|
1187
|
|
|
Square root simplification
|
|
|
|
1188
|
|
|
Square root of a perfect square monomial
|
|
|
|
1189
|
|
|
Simplifying a radical expression: Problem type 1
|
|
|
|
1190
|
|
|
Simplifying a radical expression: Problem type 2
|
|
|
|
1191
|
|
|
Square root addition
|
|
|
|
1192
|
|
|
Simplifying a sum of radical expressions
|
|
|
|
1193
|
|
|
Square root multiplication
|
|
|
|
1194
|
|
|
Simplifying a product of radical expressions
|
|
|
|
1195
|
|
|
Simplifying a product of radical expressions: Problem type 3
|
|
|
|
1196
|
|
|
Simplifying a product of radical expressions using the distributive
property
|
|
|
|
1197
|
|
|
Rationalizing the denominator of a radical expression
|
|
|
|
1198
|
|
|
Rationalizing the denominator of a radical expression using
conjugates
|
|
|
|
1199
|
|
|
Pythagorean Theorem
|
|
|
|
1200
|
|
|
Solving an equation with radicals: Problem type 1
|
|
|
|
1201
|
|
|
Solving an equation with radicals: Problem type 2
|
|
|
|
1202
|
|
|
Solving an equation with radicals: Problem type 3
|
|
|
|
1203
|
|
|
Solving an equation with radicals: Problem type 4
|
|
|
|
1204
|
|
|
Cube root of an integer
|
|
|
|
1205
|
|
|
Simplifying a higher radical: Problem type 1
|
|
|
|
1206
|
|
|
Simplifying a higher radical: Problem type 2
|
|
|
|
1207
|
|
|
Even root property
|
|
|
|
1208
|
|
|
Odd root property
|
|
|
|
1209
|
|
|
Solving an equation with exponent using the even-root property
|
|
|
|
1210
|
|
|
Solving an equation with exponent using the odd-root property
|
|
|
|
1211
|
|
|
Rational exponents: Basic
|
|
|
|
1212
|
|
|
Rational exponents: Negative exponents and fractional bases
|
|
|
|
1213
|
|
|
Rational exponents: Powers of powers
|
|
|
|
1214
|
|
|
Converting between radical form and exponent form
|
|
|
|
1215
|
|
|
Solving an equation with positive rational exponent
|
|
|
|
1216
|
|
|
Solving an equation with negative rational exponent
|
|
|
|
1217
|
|
|
Complex
numbers:
|
|
|
|
1218
|
|
|
Adding and subtracting complex numbers
|
|
|
|
1219
|
|
|
Multiplying
complex numbers
|
|
|
|
1220
|
|
|
Dividing
complex numbers
|
|
|
|
1221
|
|
|
Simplifying
a power of I
|
|
|
|
1222
|
|
|
Quadratic
equations:
|
|
|
|
1223
|
|
|
Completing
the square
|
|
|
|
1224
|
|
|
Solving
a quadratic equation using the quadratic formula
|
|
|
|
1225
|
|
|
Solving
a quadratic equation with imaginary roots
|
|
|
|
1226
|
|
|
Discriminant
of a quadratic equation
|
|
|
|
1227
|
|
|
Discriminant
of a quadratic equation with parameter
|
|
|
|
1228
|
|
|
Solving
a word problem using a quadratic equation with irrational roots
|
|
|
|
1229
|
|
|
Solving
a quadratic inequality
|
|
|
|
1230
|
|
|
Parabolas:
|
|
|
|
1231
|
|
|
Graphing a parabola: Problem type 1
|
|
|
|
1232
|
|
|
Graphing a parabola: Problem type 2
|
|
|
|
1233
|
|
|
Graphing a parabola: Problem type 3
|
|
|
|
1234
|
|
|
Finding the x-intercept(s) and the vertex of a parabola
|
|
|
|
1235
|
|
|
Graphing a quadratic inequality
|
|
|
|
1236
|
|
|
Introduction to Statistics
|
|
|
|
1237
|
|
|
Descriptive statistics
|
|
|
|
1238
|
|
|
Graphical
displays
|
|
|
|
1239
|
|
|
Descriptive
measures
|
|
|
|
1240
|
|
|
Random variables
|
|
|
|
1241
|
|
|
One random variable
|
|
|
|
1242
|
|
|
Inferential statistics
|
|
|
|
1243
|
|
|
Confidence
intervals and estimation
|
|
|
|
1244
|
|
|
Hypothesis
tests
|
|
|
|
1245
|
|
|
ANOVA
|
|
|
|
1246
|
|
|
Goodness-of-fit and non-parametric tests
|
|
|
|
1247
|
|
|
Probability
|
|
|
|
1248
|
|
|
Counting
|
|
|
|
1249
|
|
|
Events
and probability
|
|
|
|
1250
|
|
|
Conditional
probability
|
|
|
|
1251
|
|
|
Distributions
|
|
|
|
1252
|
|
|
Fundamental distributions
|
|
|
|
1253
|
|
|
Correlation and regression
|
|
|
|
1254
|
|
|
Correlation and simple linear regression
|
|
|
|
1255
|
|
|
Descriptive statistics
|
|
|
|
1256
|
|
|
Graphical
displays
|
|
|
|
1257
|
|
|
Histograms
for grouped data
|
|
|
|
1258
|
|
|
Frequency
polygons for grouped data
|
|
|
|
1259
|
|
|
Interpreting
relative frequency histograms
|
|
|
|
1260
|
|
|
Cumulative
distributions and ogives
|
|
|
|
1261
|
|
|
Box-and
whisker plots
|
|
|
|
1262
|
|
|
Descriptive
measures
|
|
|
|
1263
|
|
|
Mean,
median, and mode: Computations
|
|
|
|
1264
|
|
|
Percentiles
|
|
|
|
1265
|
|
|
Population
standard deviation
|
|
|
|
1266
|
|
|
Sample
standard deviation
|
|
|
|
1267
|
|
|
Estimating the standard deviation of grouped data
|
|
|
|
1268
|
|
|
Chebyshev's
theorem and the empirical rule
|
|
|
|
1269
|
|
|
Mean, median, and mode: Comparisons Random variables
|
|
|
|
1270
|
|
|
One random variable:
|
|
|
|
1271
|
|
|
Classification of variables and levels of measurement
|
|
|
|
1272
|
|
|
Inferential statistics
|
|
|
|
1273
|
|
|
Confidence intervals and estimation
|
|
|
|
1274
|
|
|
Selecting a distribution for inferences on the population mean
|
|
|
|
1275
|
|
|
Confidence interval for the population mean: Use of the
standard normal
|
|
|
|
1276
|
|
|
Choosing an appropriate sample size
|
|
|
|
1277
|
|
|
Confidence interval for the population mean: Use of the t
distribution
|
|
|
|
1278
|
|
|
Confidence interval for a population proportion
|
|
|
|
1279
|
|
|
Confidence interval for the difference of population means:
Use of the standard normal
|
|
|
|
1280
|
|
|
Confidence interval for the difference of population means:
Use of the t distribution
|
|
|
|
1281
|
|
|
Confidence interval for the difference of population
proportions
|
|
|
|
1282
|
|
|
Hypothesis
tests
|
|
|
|
1283
|
|
|
Determining
null and alternative hypotheses
|
|
|
|
1284
|
|
|
Type
I and Type II errors and power
|
|
|
|
1285
|
|
|
Hypothesis
test for the population mean: Z test
|
|
|
|
1286
|
|
|
Hypothesis
test for the population mean: t test
|
|
|
|
1287
|
|
|
Hypothesis
test for a population proportion
|
|
|
|
1288
|
|
|
Hypothesis
test for the difference of population means: Z test
|
|
|
|
1289
|
|
|
Hypothesis
test for the difference of population means: Paired comparisons
|
|
|
|
1290
|
|
|
Hypothesis
test for the difference of population means: t test
|
|
|
|
1291
|
|
|
Hypothesis
test for the difference of population proportions
|
|
|
|
1292
|
|
|
ANOVA:
|
|
|
|
1293
|
|
|
ANOVA:
Mean squares and the common population variance
|
|
|
|
1294
|
|
|
ANOVA:
Degrees of freedom and the F statistic
|
|
|
|
1295
|
|
|
ANOVA:
Hypothesis tests and the ANOVA table
|
|
|
|
1296
|
|
|
Goodness-of-fit
and non-parametric tests
|
|
|
|
1297
|
|
|
Contingency
tables: Expected frequencies
|
|
|
|
1298
|
|
|
Chi-square
goodness-of-fit test
|
|
|
|
1299
|
|
|
Chi-square test of independence
|
|
|
|
1300
|
|
|
Sign test
|
|
|
|
1301
|
|
|
Wilcoxon signed-ranks test
|
|
|
|
1302
|
|
|
Probability
|
|
|
|
1303
|
|
|
Counting:
|
|
|
|
1304
|
|
|
Probabilities
of draws with replacement
|
|
|
|
1305
|
|
|
Probabilities
of draws without replacement
|
|
|
|
1306
|
|
|
Events
and probability
|
|
|
|
1307
|
|
|
Venn
diagrams: Two events
|
|
|
|
1308
|
|
|
Venn
diagrams: Three events
|
|
|
|
1309
|
|
|
Venn
diagrams: Word problems
|
|
|
|
1310
|
|
|
Outcomes
and event probability
|
|
|
|
1311
|
|
|
Die
rolling
|
|
|
|
1312
|
|
|
Probability
of intersection or union: Word problems
|
|
|
|
1313
|
|
|
Independent events: Basic
|
|
|
|
1314
|
|
|
Probability of union: Basic
|
|
|
|
1315
|
|
|
Mutually exclusive events: Two events
|
|
|
|
1316
|
|
|
Mutually exclusive events: Three events
|
|
|
|
1317
|
|
|
Independent events: Two events
|
|
|
|
1318
|
|
|
Independent events: Three events
|
|
|
|
1319
|
|
|
The curious die
|
|
|
|
1320
|
|
|
Conditional probability:
|
|
|
|
1321
|
|
|
Calculating relative frequencies in a contingency table
|
|
|
|
1322
|
|
|
Tree diagrams for conditional probabilities
|
|
|
|
1323
|
|
|
Distributions
|
|
|
|
1324
|
|
|
Fundamental distributions
|
|
|
|
1325
|
|
|
Binomial problems: Basic
|
|
|
|
1326
|
|
|
Binomial problems: Advanced
|
|
|
|
1327
|
|
|
Standard normal
probabilities
|
|
|
|
1328
|
|
|
Standard normal values:
Basic
|
|
|
|
1329
|
|
|
Standard normal values:
Advanced
|
|
|
|
1330
|
|
|
Normal versus standard
normal density curves
|
|
|
|
1331
|
|
|
Normal distribution raw
scores
|
|
|
|
1332
|
|
|
Mean and deviation of a normal
distribution
|
|
|
|
1333
|
|
|
Normal distribution:
Word problems
|
|
|
|
1334
|
|
|
Correlation and regression
|
|
|
|
1335
|
|
|
Correlation and simple linear regression
|
|
|
|
1336
|
|
|
Sketching the least-squares regression line
|
|
|
|
1337
|
|
|
Linear relationship and the sample correlation coefficient
|
|
|
|
1338
|
|
|
Predictions from the least-squares regression line
|
|
|
|
1339
|
|
|
Computing the sample correlation coefficient and the
coefficients for the least squares regression line
|
|
|
|
1340
|
|
|
Explained and unexplained variation and the least-squares
regression line
|
|
|
|
1341
|
|
|
Hypothesis tests for the correlation coefficient and the slope
of the least-squares regression line
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|